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  • Open Access

Interacting type-II semi-Dirac quasiparticles

Mohamed M. Elsayed1, Taras I. Lakoba2, and Valeri N. Kotov1,*

  • *Contact author: valeri.kotov@uvm.edu
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Phys. Rev. Research 8, 033128 – Published 30 July, 2026

DOI: https://doi.org/10.1103/6ktq-2nn6

Abstract

Type-II semi-Dirac fermions in two dimensions have been proposed to describe topologically nontrivial low-energy excitations in titanium/vanadium oxide heterostructures. These quasiparticles appear at the merger of three Dirac cones, resulting in a nonzero Berry phase. We find, by employing Hartree-Fock, renormalization group, and random phase approximation techniques, that the spectrum is very sensitive to long-range electron-electron interactions and can undergo a profound transformation. Our results indicate that at the topological phase boundary, long-range correlations stabilize a hybrid electronic phase displaying both Dirac and type-II semi-Dirac qualities, with physical characteristics exhibiting continuously varying critical exponents as a function of the Fermi energy; for example, Landau levels in a magnetic field vary with the energy scale: |ɛn(B)|∼(nB)1/2→(nB)3/4,n∈N0. The quasiparticle spectrum evolves, driven by interactions, from anisotropic Dirac dispersion at the lowest energies toward the characteristic type-II semi-Dirac boomerang shape as the energy increases. The corresponding density of states concomitantly varies between linear and power one-third (ρ(ɛ)∼|ɛ|→|ɛ|1/3). The crossover scale is controlled by the interaction strength α=e2/(ℏv) and the specifics of the effective interacting Hamiltonian.

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Phys. Rev. Research 8, 033128– Published 30 July, 2026
  • Received 19 March 2026
  • Revised 13 May 2026
  • Accepted 7 July 2026
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